Lucio Galeati

activity

20202026

ρ

-irregularity and related properties

1 citations · 1 across the 5 of their papers we have counts for

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math.AP2026

Anomalous properties of 2D active scalars perturbed by rough transport noise

Lucio Galeati, Eliseo Luongo, Umberto Pappalettera

We study SPDEs associated with $2$ D active scalars driven by incompressible transport noise of Kraichnan type, with regularity exponent $α \in (0, 1)$ ; our examples include the Euler…

math.AP2026

The 2D Euler equations are well-posed for generic initial data in $L^{2}$

Lucio Galeati

In this note we show the existence of a residual set (in the sense of Baire) of divergence free initial data $u_{0} \in L^{2} (D)$ , $D = R^{2}$ or $T^{2}$ , for which global e…

math.AP2021

Mixing for generic rough shear flows

Lucio Galeati, Massimiliano Gubinelli

We study mixing and diffusion properties of passive scalars driven by $g e n er i c$ rough shear flows. Genericity is here understood in the sense of prevalence and (ir)regularity is me…

Anomalous properties of 2D active scalars perturbed by rough transport noise

The 2D Euler equations are well-posed for generic initial data in L2

Mixing for generic rough shear flows

The 2D Euler equations are well-posed for generic initial data in $L^{2}$